2013/09/17 by Jong-Ping Hsu, Hsu, Jong-Ping
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Feynman diagram #Gauge boson #Gauge group #Gauge symmetry #Gauge theory #General Relativity and Quantum Cosmology (gr-qc) #Gravitation #Graviton #High Energy Physics - Theory (hep-th) #Mathematical physics #Noncommutative and Quantum Gravity Theories #Particle physics #Physics #Quantum mechanics #Relativity and Gravitational Theory #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.1309.4445
published in arXiv (Cornell University) 52(2), 691-706 (Cornell University) · 19 pages, to be published in the Chinese Journal of Physics, 2013
arxiv created 2013/09/17 · arxiv updated 2013/09/19
Gravitational field is the manifestation of space-time translational (T4)\ngauge symmetry, which enables gravitational interaction to be unified with the\nstrong and the electroweak interactions. Such a total-unified model is based on\na generalized Yang-Mills framework in flat space-time. Following the idea of\nGlashow-Salam-Ward-Weinberg, we gauge the groups T4 \× (SU3)color\n\× SU2 \× U1\× U1b on equal-footing, so that we have the\ntotal-unified gauge covariant derivative bf d\μ = p\μ -\nig\φ\μ\ν p\ν+igsG\μa( lda/2) +ifW\μktk +\nif' U\μto + igbB\μ. The generators of the external T4 group\nhave the representation p\μ=i p\μ, which differs from other\ngenerators of all internal groups, which have constant matrix representations.\nConsequently, the total-unified model leads to the following new results: (a)\nAll internal (SU3)color, SU2, U1 and baryonic U1b gauge symmetries\nhave extremely small violations due to the gravitational interaction. (b) The\nT4 gauge symmetry remains exact and dictates the universal coupling of\ngravitons. (c) Such a gravitational violation of internal gauge symmetries\nleads to modified eikonal and Hamilton-Jacobi type equations, which are\nobtained in the geometric-optics limit and involve effective Riemann metric\ntensors. (d) The rules for Feynman diagrams involving new couplings of\nphoton-graviton, gluon-graviton and quark-gaviton are obtained.\n